How do I make a dashed or dotted checkmark?

An alternative solution is to use the pdfrender package. Documentation of the package can be found here. The key is to use the LineDashPattern parameter.

\documentclass{article}
\usepackage{amssymb}
\usepackage{pdfrender}
\newcommand{\dashcheckmark}{
    \textpdfrender{
        TextRenderingMode=Stroke,
        LineWidth=0.5pt,
        LineDashPattern=[1 1]0,
    }{\checkmark}
}

\begin{document}
    This is a dashed checkmark \dashcheckmark
\end{document}

One possibility is to use TikZ for that.

\documentclass{article}
\usepackage{tikz}

\newcommand\chmdash{%
\begin{tikzpicture}[scale=0.0012, x=\baselineskip, y=-\baselineskip]
    \fill (228,734) -- (190,638) -- (228,615) -- (242,610) -- (248,623) -- (254,635) -- (266,620) -- (277,604) -- (288,617) -- (305,638) -- (312,648) -- (305,662) -- (292,685) -- (287,697) -- (277,703) -- (239,730) -- (230,738) -- (228,734) -- cycle;
    \fill (166,608) -- (144,592) -- (141,590) -- (161,572) -- (190,558) -- (202,559) -- (216,568) -- (223,582) -- (198,600) -- (172,614) -- (166,608) -- cycle;
    \fill (318,593) -- (299,576) -- (306,563) -- (347,514) -- (353,510) -- (383,534) -- (387,537) -- (373,556) -- (347,592) -- (336,608) -- (318,593) -- cycle;
    \fill (391,496) -- (377,483) -- (452,413) -- (470,435) -- (458,450) -- (415,501) -- (408,508) -- (391,496) -- cycle;
    \fill (482,406) -- (476,396) -- (529,360) -- (538,374) -- (500,407) -- (490,415) -- (482,406) -- cycle;
\end{tikzpicture}%
}

\begin{document}

\raggedright

\small Some text. Some text with \chmdash\ and  \chmdash. Some text. Some text. Some text. \chmdash\ and some text. Some text. Some text. Some text. Some text.

\Large Some text. Some text with \chmdash\ and \chmdash. Some text. Some text. Some text. \chmdash\ and some text. Some text. Some text. Some text. Some text.

\end{document}

Related: How to export svg to tikz